Vector calculus | Operations on vectors

Quadruple product

In mathematics, the quadruple product is a product of four vectors in three-dimensional Euclidean space. The name "quadruple product" is used for two different products, the scalar-valued scalar quadruple product and the vector-valued vector quadruple product or vector product of four vectors. (Wikipedia).

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Sums & products

Powered by https://www.numerise.com/ Sums & products

From playlist Quadratics

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Scalar triple product and volume

How to calculate the volume of parallelpipeds via scalar triple product of vectors. Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link)

From playlist Introduction to Vectors

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Determining if a set of points makes a parallelogram or not

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Factoring a quadratic by diamond method

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

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How to determine if a set of points makes up a rectangle using the distance formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Taylor Series Solutions to Initial Value Problems - 2nd Order

This video explains how to determine a Taylor series solution to an initial value problem. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

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Lecture 08 -Jack Simons Electronic Structure Theory- Coupled-cluster theory

Coupled-cluster (CC) theory; analogy to cluster expansion in statistical mechanics; the CC equations are quartic. (1)Jack Simons Electronic Structure Theory- Session 1- Born-Oppenheimer approximation http://www.youtube.com/watch?v=Z5cq7JpsG8I (2)Jack Simons Electronic Structure Theory

From playlist U of Utah: Jack Simons' Electronic Structure Theory course

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Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packings [2012]

slides for this talk: https://docs.google.com/viewer?url=http://www.msri.org/workshops/652/schedules/14560/documents/1681/assets/17223 Abstract: The Strong Density Conjecture states that for a given primitive integral Apollonian circle packing, every sufficiently large admissible (passing

From playlist Number Theory

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Factoring trinomials #2 difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

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Zeros of polynomials on Cartesian products - Orit Raz

Topic: Zeros of polynomials on Cartesian products Speaker: Orit Raz, Member, School of Mathematics More videos on http://video.ias.edu

From playlist Mathematics

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Vector Identities | Lecture 8 | Vector Calculus for Engineers

Four vector identities are presented: (1) Scalar triple product; (2) Vector triple product; (3) Scalar quadruple product; (4) Vector quadruple product. The tools required to prove them are discussed. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture n

From playlist Vector Calculus for Engineers

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Factoring using the definition of difference of two squares

👉Learn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then the quadratic can be factored easily using the diffe

From playlist Factor Quadratic Expressions | Difference of Two Squares

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Set Theory (Part 14c): More on the Quaternions

No background in sets required for this video. In this video, we will learn how the quaternions can be thought of as pairings of complex numbers. We also will show how the quaternions can be written as a 2x2 complex matrix as opposed to a 4x4 real matrix and how the unit quaternions form t

From playlist Set Theory

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Solving a perfect square trinomial with multiple terms

👉Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic expression we will then use the zero product property to de

From playlist Solve Quadratic Equations by Factoring

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Excel Magic Trick 1092: Count Double, Triple, Quadruple, Quintuple Occurrences in Excel

Download Excel Start File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EMT1091-1094.xlsx Download Excel File: http://people.highline.edu/mgirvin/ExcelIsFun.htm See how to build an array formula that uses the COUNTIF & SUMPRODUCT functions as well as a function argument array op

From playlist Excel Series: Magic Tricks (6th 200 videos)

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The dynamics of Apollonian circle packings by Sneha Chaubey

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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Distance squared on disk and square

In this video, I answer the following neat question: If you have two points on a circle, then what is on average the distance between them? This problem can be surprisingly (or not) solved using multivariable calculus by converting it into a quadruple (!) integral! Then, I solve the same p

From playlist Double and Triple Integrals

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Using the slope formula to determine if points make up a rectangle

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

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Proportional Reasoning with Coulomb's Law

This video tutorial lesson explains how Coulomb's law can be used to predict the effect that variations in the quantity of charge or the separation distance have upon the electrostatic force. Video on Coulomb's law (referenced on Slide 3): https://youtu.be/G11OJMnMlTE You can find more i

From playlist Static Electricity Tutorial Series

Related pages

Dot product | Mathematics | Binet–Cauchy identity | Determinant | Lagrange's identity | Triple product | Josiah Willard Gibbs | Euclidean space | Tensor | Cross product